Answer:
5.5, 7, 8.5
Step-by-step explanation:
Find the mean of 4 and 10, that is
=
= 7
Now repeat with 4 and 7 and 7 and 10
=
= 5.5
=
= 8.5
Hence
4, 5.5, 7, 8.5, 10 ← is an arithmetic sequence with d = 1.5
Answer: B) Dilate by scale factor of 2
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Explanation:
Your teacher isn't saying this directly, but I'm assuming s/he wants you to find a similar figure that isn't congruent to the original. Informally, your teacher seems to want you to find a figure that is the same shape but not the same size as the original.
If so, then any dilation will shrink or enlarge the image depending on the scale factor. So the new image will not be the same as the old one. In this case, a dilation with scale factor 2 means the new figure is twice as large (each side is twice as long). But the old image is similar to the new image. The angles keep their values and therefore we get the same shape. This is why choice B is the answer. Again this is assuming what I mentioned in the first paragraph.
Choices A, C, and D are all known as rigid transformations and they preserve the same size of the figure. Applying any of those operations will lead to the same figure (just rotated, reflected or shifted somehow). In other words, applying operations A,C, or D will have us get two congruent triangles. If two triangles are congruent, then they are automatically similar, but not vice versa. This is why we can rule out A,C, and D.
Answer:
Can you take a picture of the problem to see if i could help!?
Step-by-step explanation:
The answers to the question are are the equations
y = 0.08x²-1.6x+13
y = 0.08(x-10)²+5
<h3>How to solve for the system of equations</h3>
David starts at (20, 13) and skates along a path that can be modeled by a quadratic function with a vertex at (10, 5).
Vertex form of quadratic function is
y = 
13 = a(x-10)²+5
let x = 20
a(20-10)²+5
13 = 100a + 5
take like terms
13 - 5 = 100a
8 = 100a
divide through by 100
a = 0.08
hence the equation would be
y = 0.08(x-10)²+5
Read more on equations here:
brainly.com/question/9621134
#SPJ1
Answer:
104
Step-by-step explanation:
100%= 1.00
so
420%= 4.20
Multiply 4.20×20
84
now add the original 20
104. She has 104 boxes in total.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!